This article focuses on the evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks. We calculate a general analytical expression for the geometric dilution of precision for three-dimensional angle-of-arrival target localization. Unlike the existing works in the literature, in this article, no assumptions are made regarding the observation ranges, noise variances, or the number of sensors in the derivation of the geometric dilution of precision. Necessary and sufficient conditions regarding the existence of geometric dilution of precision are also derived, which can be readily used to evaluate the observability of three-dimensional angle-of-arrival target localization in wireless sensor networks. Moreover, a concise procedure is also presented to calculate the geometric dilution of precision when it exists. Finally, several examples are used to illustrate our results, and it is shown that the performance of the proposed regular deployment configurations of angle-of-arrival sensors is better than the one with random deployment patterns.

中文翻译：

---

无线传感器网络中三维到达角目标定位精度几何稀释的分析评估

本文重点评估无线传感器网络中三维到达角目标定位精度的几何稀释。我们计算了三维到达角目标定位精度几何稀释的一般解析表达式。与文献中的现有工作不同，在本文中，在推导精度几何稀释时没有对观测范围、噪声方差或传感器数量做出任何假设。还推导出关于精度几何稀释存在的充分必要条件，可以很容易地用于评估无线传感器网络中三维到达角目标定位的可观测性。而且，还提供了一个简洁的程序来计算精度的几何稀释（如果存在）。最后，通过几个例子来说明我们的结果，结果表明，所提出的到达角传感器常规部署配置的性能优于随机部署模式的配置。